SOLUTION: square root of 72x^2 y^3 please help, im stuck. thank you.

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Question 222738: square root of 72x^2 y^3
please help, im stuck.
thank you.
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
square root of 72x^2 y^3
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= sqrt(36x^2y^2)*sqrt(2y)
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= 6xy*sqrt(2y)
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Cheers,
Stan H.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%2872%2Ax%5E2%2Ay%5E3%29 Start with the given expression.


sqrt%2836%2A2%2Ax%5E2%2Ay%5E3%29 Factor 72 into 36%2A2


sqrt%2836%2A2%2Ax%5E2%2Ay%5E2%2Ay%29 Factor y%5E3 into y%5E2%2Ay


sqrt%2836%29%2Asqrt%282%29%2Asqrt%28x%5E2%29%2Asqrt%28y%5E2%29%2Asqrt%28y%29 Break up the square root using the identity sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29.


6%2Asqrt%282%29%2Asqrt%28x%5E2%29%2Asqrt%28y%5E2%29%2Asqrt%28y%29 Take the square root of 36 to get 6.


6%2Asqrt%282%29%2Ax%2Asqrt%28y%5E2%29%2Asqrt%28y%29 Take the square root of x%5E2 to get x.


6%2Asqrt%282%29%2Ax%2Ay%2Asqrt%28y%29 Take the square root of y%5E2 to get y.


6xy%2Asqrt%282y%29 Rearrange and multiply the terms.

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Answer:


So sqrt%2872%2Ax%5E2%2Ay%5E3%29 simplifies to 6xy%2Asqrt%282y%29


In other words, sqrt%2872%2Ax%5E2%2Ay%5E3%29=6xy%2Asqrt%282y%29 where every variable is non-negative.